Postdoc: High Performance Solution of Three-Dimensional Nonlinear Transient Aeroelastic Problems

准确预测气动弹性现象对于设计安全的高性能飞机至关重要。这种预测需要同时求解适当耦合的流体和结构运动方程。因此，数值气动弹性模拟通常是资源密集型的。我们建议在先进的同质和异质硬件架构上开发高性能的三维瞬态气动弹性问题并行模拟方法。更具体地说，我们打算为控制耦合非线性偏微分方程的并行空间和时间积分开发混合分区程序，并研究它们在精度、稳定性、异构计算、I/O传输、子循环和并行处理方面的优点。本研究是跨学科的，包括四个组成部分：计算结构力学、计算流体力学、应用数学与数值分析、计算机科学与并行处理。前两个部分涉及基于有限元素和有限体积的离散数学模型的发展，用于将航空航天结构表示为梁、板和壳的组件，并对其周围的高速流动进行建模。第三部分讨论了交错和高效时间积分器的设计，以推进控制耦合半离散方程的解。最后一个研究部分旨在利用同构和异构并行系统的能力，以显着减少这些非常计算密集型工程应用的总体模拟时间。

9503301 Farhat The accurate prediction of aeroelastic phenomena is essential to the design of safe high performance aircraft. This prediction requires solving simultaneously the appropriately coupled fluid and structural equations of motion. Therefore, numerical aeroelastic simulations are in general resource intensive. We propose to develop high performance methodologies for the parallel simulation of three-dimensional transient aeroelastic problems on advanced homogenous and heterogeneous hardware architectures. More specifically, we intend to develop mixed partitioning procedures for the parallel space and time integration of the governing coupled nonlinear partial differential equations, and investigate their merits in terms of accuracy, stability, heterogeneous computing, I/O transfers, subcycling, and parallel processing. This research is multidisciplinary and includes four components: computational structural mechanics, computational fluid dynamics, applied mathematics and numerical analysis and, computer sciences and parallel processing. The first two components involve the development of discrete mathematical models based on finite elements and finite volumes for representing aerospace structures as assemblies of beams, plates, and shells, and modeling high speed flows around them. The third component addresses the design of staggered and efficient time-integrators for advancing the solution of the governing coupled semi-discrete equations. The last research component aims at exploiting the capabilities of homogeneous and heterogeneous parallel systems to significantly reduce the overall simulation time of these very compute-intensive engineering applications.